Accuracy of the quantum regression theorem for photon emission from a quantum dot

Cosacchi, M.; Seidelmann, T.; Cygorek, M.; Vagov, A.; Reiter, D. E.; Axt, V. M.

doi:10.48550/arxiv.2103.13100

Cited by 1 publication

(1 citation statement)

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“…As will be demonstrated in the following, pronounced non-Markovian effects arising from the delayed phonon response can still be captured. Other studies have examined the validity of the quantum regression theorem in the laboratory frame and to some extent under the standard polaron transformation [68]. We find that the Markov approximation and thus the applicability of the quantum regression theorem is closely connected to the suitability of the applied basis transformation and the perturbation strength in the transformed reference frame.…”

Section: Emission Spectrummentioning

confidence: 73%

Non-Markovian perturbation theories for phonon effects in strong-coupling cavity quantum electrodynamics

Bundgaard-Nielsen,

Mørk,

Denning

2021

Preprint

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Phonon interactions are inevitable in cavity quantum electrodynamical systems based on solidstate emitters or fluorescent molecules, where vibrations of the lattice or chemical bonds couple to the electronic degrees of freedom. Due to the non-Markovian response of the vibrational environment, it remains a significant theoretical challenge to describe such effects in a computationally efficient manner. This is particularly pronounced when the emitter-cavity coupling is comparable to or larger than the typical phonon energy range, and polariton formation coincides with vibrational dressing of the optical transitions. In this Article, we consider four non-Markovian perturbative master equation approaches to describe such dynamics over a broad range of light-matter coupling strengths and compare them to numerically exact reference calculations using a tensor network. The master equations are derived using different basis transformations and a perturbative expansion in the new basis is subsequently introduced and analyzed. We find that two approaches are particularly successful and robust. The first of these is suggested and developed in this Article and is based on a vibrational dressing of the exciton-cavity polaritons. This enables the description of distinct phonon-polariton sidebands that appear when the polariton splitting exceeds the typical phonon frequency scale in the environment. The second approach is based on a variationally optimized polaronic vibrational dressing of the electronic state. Both of these approaches demonstrate good qualitative and quantitative agreement with reference calculations of the emission spectrum and are numerically robust, even at elevated temperatures, where the thermal phonon population is significant.

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Section: Emission Spectrummentioning

confidence: 73%